Abstract
We analyze the gauging of Abelian isometries on the hypermultiplet scalar manifolds of \( \mathcal{N} \) = 2 supergravity in four dimensions. This involves a study of symmetric special quaternionic-Kähler manifolds, building on the work of de Wit and Van Proeyen. In particular we compute the general set of Killing prepotentials and associated compensators for these manifolds. This allows us to glean new insights about AdS4 vacua which preserve the full \( \mathcal{N} \) = 2 supersymmetry as well as BPS static black hole horizons.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
K. Hristov, H. Looyestijn and S. Vandoren, Maximally supersymmetric solutions of D = 4 N =2 gauged supergravity, JHEP 11 (2009) 115 [arXiv:0909.1743] [INSPIRE].
J. Louis, P. Smyth and H. Triendl, Supersymmetric vacua in N = 2 supergravity, JHEP 08 (2012) 039 [arXiv:1204.3893] [INSPIRE].
B. de Wit and M. van Zalk, Electric and magnetic charges in N = 2 conformal supergravity theories, JHEP 10 (2011) 050 [arXiv:1107.3305] [INSPIRE].
B. de Wit and A. Van Proeyen, Symmetries of dual quaternionic manifolds, Phys. Lett. B 252 (1990) 221 [INSPIRE].
B. de Wit, F. Vanderseypen and A. Van Proeyen, Symmetry structure of special geometries, Nucl. Phys. B 400 (1993) 463 [hep-th/9210068] [INSPIRE].
B. de Wit and A. Van Proeyen, Hidden symmetries, special geometry and quaternionic manifolds, Int. J. Mod. Phys. D 3 (1994) 31 [hep-th/9310067] [INSPIRE].
D. Cassani and A.-K. Kashani-Poor, Exploiting N = 2 in consistent coset reductions of type IIA, Nucl. Phys. B 817 (2009) 25 [arXiv:0901.4251] [INSPIRE].
D. Cassani, S. Ferrara, A. Marrani, J.F. Morales and H. Samtleben, A special road to AdS vacua, JHEP 02 (2010) 027 [arXiv:0911.2708] [INSPIRE].
N. Halmagyi, BPS black hole horizons in N = 2 gauged supergravity, JHEP 02 (2014) 051 [arXiv:1308.1439] [INSPIRE].
P. Fré, A.S. Sorin and M. Trigiante, The c-map, tits satake subalgebras and the search for \( \mathcal{N} \) =2 inflaton potentials, Fortsch. Phys. 63 (2015) 198 [arXiv:1407.6956] [INSPIRE].
B. de Wit, H. Samtleben and M. Trigiante, Magnetic charges in local field theory, JHEP 09 (2005) 016 [hep-th/0507289] [INSPIRE].
H. Samtleben, Lectures on gauged supergravity and flux compactifications, Class. Quant. Grav. 25 (2008) 214002 [arXiv:0808.4076] [INSPIRE].
A. Gnecchi and N. Halmagyi, Supersymmetric black holes in AdS 4 from very special geometry, JHEP 04 (2014) 173 [arXiv:1312.2766] [INSPIRE].
S. Ferrara, R. Kallosh and A. Strominger, N = 2 extremal black holes, Phys. Rev. D 52 (1995) 5412 [hep-th/9508072] [INSPIRE].
S. Ferrara and R. Kallosh, Supersymmetry and attractors, Phys. Rev. D 54 (1996) 1514 [hep-th/9602136] [INSPIRE].
M. Shmakova, Calabi-Yau black holes, Phys. Rev. D 56 (1997) 540 [hep-th/9612076] [INSPIRE].
K. Galicki, A generalization of the momentum mapping construction for quaternionic Kähler manifolds, Comm. Math. Phys. 108 (1987) 117.
R. D’Auria, S. Ferrara and P. Fré, Special and quaternionic isometries: general couplings in N =2 supergravity and the scalar potential, Nucl. Phys. B 359 (1991) 705 [INSPIRE].
N. Halmagyi, M. Petrini and A. Zaffaroni, BPS black holes in AdS 4 from M-theory, JHEP 08 (2013) 124 [arXiv:1305.0730] [INSPIRE].
N. Halmagyi, Static BPS black holes in AdS 4 with general dyonic charges, JHEP 03 (2015) 032 [arXiv:1408.2831] [INSPIRE].
S. Ferrara and S. Sabharwal, Quaternionic manifolds for type II superstring vacua of Calabi-Yau spaces, Nucl. Phys. B 332 (1990) 317 [INSPIRE].
D. Cassani, P. Koerber and O. Varela, All homogeneous N = 2 M-theory truncations with supersymmetric AdS 4 vacua, JHEP 11 (2012) 173 [arXiv:1208.1262] [INSPIRE].
G. Dall’Agata and A. Gnecchi, Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity, JHEP 03 (2011) 037 [arXiv:1012.3756] [INSPIRE].
A. Donos, J.P. Gauntlett, N. Kim and O. Varela, Wrapped M5-branes, consistent truncations and AdS/CMT, JHEP 12 (2010) 003 [arXiv:1009.3805] [INSPIRE].
M. Pernici, K. Pilch and P. van Nieuwenhuizen, Gauged maximally extended supergravity in seven-dimensions, Phys. Lett. B 143 (1984) 103 [INSPIRE].
N. Halmagyi, M. Petrini and A. Zaffaroni, Non-relativistic solutions of N = 2 gauged supergravity, JHEP 08 (2011) 041 [arXiv:1102.5740] [INSPIRE].
S.L. Cacciatori and D. Klemm, Supersymmetric AdS 4 black holes and attractors, JHEP 01 (2010) 085 [arXiv:0911.4926] [INSPIRE].
J.F. Plebanski and M. Demianski, Rotating, charged and uniformly accelerating mass in general relativity, Annals Phys. 98 (1976) 98 [INSPIRE].
L. Castellani, L.J. Romans and N.P. Warner, Symmetries of coset spaces and Kaluza-Klein supergravity, Annals Phys. 157 (1984) 394 [INSPIRE].
L. Castellani, On G/H geometry and its use in M-theory compactifications, Annals Phys. 287 (2001) 1 [hep-th/9912277] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1409.6310
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Erbin, H., Halmagyi, N. Abelian hypermultiplet gaugings and BPS vacua in \( \mathcal{N} \) =2 supergravity. J. High Energ. Phys. 2015, 122 (2015). https://doi.org/10.1007/JHEP05(2015)122
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2015)122